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1241314109 = 72171818233
BaseRepresentation
bin100100111111100…
…1111001100111101
310012111202021211122
41021333033030331
510020234022414
6323101400325
742521665400
oct11177171475
93174667748
101241314109
11587764732
122a78690a5
1316a22b1b9
14bac05d37
1573e9bb8e
hex49fcf33d

1241314109 has 24 divisors (see below), whose sum is σ = 1537551288. Its totient is φ = 995742720.

The previous prime is 1241314103. The next prime is 1241314187. The reversal of 1241314109 is 9014131421.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1570009 + 1239744100 = 1253^2 + 35210^2 .

It is not a de Polignac number, because 1241314109 - 24 = 1241314093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1241314103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146657 + ... + 154889.

It is an arithmetic number, because the mean of its divisors is an integer number (64064637).

Almost surely, 21241314109 is an apocalyptic number.

It is an amenable number.

1241314109 is a deficient number, since it is larger than the sum of its proper divisors (296237179).

1241314109 is a wasteful number, since it uses less digits than its factorization.

1241314109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8445 (or 8438 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 1241314109 is about 35232.2878763216. The cubic root of 1241314109 is about 1074.7164520597.

The spelling of 1241314109 in words is "one billion, two hundred forty-one million, three hundred fourteen thousand, one hundred nine".

Divisors: 1 7 17 49 119 181 833 1267 3077 8233 8869 21539 57631 139961 150773 403417 979727 1490173 6858089 10431211 25332941 73018477 177330587 1241314109